Model structures and relative Gorenstein flat modules and chain complexes
S Estrada, A Iacob, MA Pérez - Categorical, homological and …, 2020 - books.google.com
… cotorsion) modules. In this paper, we generalise this result to a certain … of Gorenstein flat
modules, which we call Gorenstein B -flat modules, where B is a class of right R -modules. Using …
modules, which we call Gorenstein B -flat modules, where B is a class of right R -modules. Using …
Relative Gorenstein flat modules and Foxby classes and their model structures
… We also study the class of GC-flat modules and the Bass class from the Auslander-Buchweitz
approximation theory point of view. We show that they are part of weak AB-contexts. As the …
approximation theory point of view. We show that they are part of weak AB-contexts. As the …
Homological dimension based on a class of Gorenstein flat modules
G Dalezios, I Emmanouil - Comptes …, 2023 - comptes-rendus.academie-sciences …
… relative homological dimension based on the class of projectively coresolved Gorenstein flat
modules (PGF-modules)… The resulting PGF-dimension of modules has several properties in …
modules (PGF-modules)… The resulting PGF-dimension of modules has several properties in …
[PDF][PDF] Model structures and relative Gorenstein flat modules
… obtain the Gorenstein flat model … of Gorenstein flat left Rmodules relative to a class B ⊆
Mod(Rop). We prove some general properties and equivalent characterizations of these modules…
Mod(Rop). We prove some general properties and equivalent characterizations of these modules…
Gorenstein FP-injective and Gorenstein flat modules
L Mao, N Ding - Journal of Algebra and Its Applications, 2008 - World Scientific
… To this end, the notion of Gorenstein FP-injective modules is introduced. We study how
Gorenstein FP-injective R-modules, together with Gorenstein flat modules, behave in case R is a …
Gorenstein FP-injective R-modules, together with Gorenstein flat modules, behave in case R is a …
The role of w-tilting modules in relative Gorenstein (co) homology
… We investigate Gorenstein flat modules relative to a not necessarily semidualizing module C
… We find the conditions for the class of G C -flat modules to be covering (Corollary 5.7) and to …
… We find the conditions for the class of G C -flat modules to be covering (Corollary 5.7) and to …
Gorenstein flat modules with respect to duality pairs
Z Wang, G Yang, R Zhu - Communications in Algebra, 2019 - Taylor & Francis
… -modules, Y be a class of right R-modules. In this article, we introduce and study Gorenstein
( X , Y ) -flat modules … In [Citation7], Estrada, Iacob and Péres studied relative Gorenstein flat …
( X , Y ) -flat modules … In [Citation7], Estrada, Iacob and Péres studied relative Gorenstein flat …
On flat and Gorenstein flat dimensions of local cohomology modules
… is the main result of this section, provides a comparison between the Gorenstein flat
dimensions of a relative Cohen–Macaulay module and its non-zero local cohomology module. …
dimensions of a relative Cohen–Macaulay module and its non-zero local cohomology module. …
Strongly Gorenstein flat modules
N Ding, Y Li, L Mao - Journal of the Australian Mathematical Society, 2009 - cambridge.org
… modules and Gorenstein flat modules. The strongly … modules and Gorenstein flat modules.
In Section 3, we define and investigate the strongly Gorenstein flat dimension for modules and …
In Section 3, we define and investigate the strongly Gorenstein flat dimension for modules and …
Relative singularity categories with respect to Gorenstein flat modules
ZX Di, ZK Liu, XX Zhang - Acta Mathematica Sinica, English Series, 2017 - Springer
… According to [11, Corollary 10.3.4], we know that any Gorenstein flat module with finite
flat dimension is flat. It follows that C(β) ∈F∩C. Hence β is an isomorphism in GF ∩ C. …
flat dimension is flat. It follows that C(β) ∈F∩C. Hence β is an isomorphism in GF ∩ C. …
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- flat modules model structures
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